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Finding the Fourth Proportional to 14.59, 20.09 and 12.16

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Solution

The fourth proportional to 14.59, 20.09 and 12.16 is: 16.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.59 : 20.09 = 12.16 : x
  2. Step 2: Convert to fraction form
    14.59/20.09 = 12.16/x
  3. Step 3: Cross multiply
    14.59x = 20.09 × 12.16
  4. Step 4: Simplify right side
    14.59x = 244.29
  5. Step 5: Solve for x
    x = 244.29/14.59
  6. Step 6: Final answer
    x = 16.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.